1

Problem

Evaluate the expression:
\$\sqrt4\$ × ( 4 + 3 ) − [ 8 − ( 2 × 3 ) ]

2

Step

Given expression

\$\sqrt4\$ × ( 4 + 3 ) − [ 8 − ( 2 × 3 ) ]

3

Step

Evaluate the expression within the parentheses

4 + 3 = 7

4

Step

Evaluate the expression within the square brackets

\$ 2 \times 3 \$ = 6

5

Step

Substitute the evaluated expressions back into the original expression

\$ \sqrt4 \times\$ (7) - [ 8 - (6) ]

2 \$\times\$ (7) - [ 8 - (6) ]

6

Step

Evaluate the expression within the square brackets

8 - 6 = 2

7

Step

Substitute the evaluated expression back into the original expression

\$ 2 \times (7) - 2 \$

8

Step

Evaluate the multiplication

\$ 2 \times 7\$ = 14

9

Step

Evaluate the subtraction

14 - 2 = 12

10

Solution

So, the solution to the expression \$\sqrt4\$ × ( 4 + 3 ) − [ 8 − ( 2 × 3 ) ] is 12.

11

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

13

Choice-A

This option suggests that the evaluated expression equals 7. However, when correctly following the order of operations (PEMDAS), the result of the expression is different. So, this option is incorrect

Wrong 7

14

Choice-B

This option implies that the evaluated expression equals 9. However, this result is incorrect

Wrong 9

15

Choice-C

This option indicates that the evaluated expression equals 12. This is the correct result. Following the order of operations, we find that the expression simplifies to 12

Correct 12

16

Choice-D

This option suggests that the evaluated expression equals 14. However, the correct result of the expression is 12, not 14. Therefore, this option is incorrect

Wrong 14

17

Answer

Option

C

18

Sumup

Please Summarize Choices